Fuzzy hybrid systems modeling

Xinyu Du, H. Ying, F. Lin
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引用次数: 4

Abstract

A hybrid system is a system containing a mixture of discrete event components and continuous variable components. The existing hybrid system modeling methods are effective to handle crisp cases but difficult to represent deterministic uncertainties and subjectivity inherent in many real-world applications, especially those in biomedicine. We recently extended the framework of discrete event systems to a framework of fuzzy discrete systems [1–2]. In the present paper, we generalize the crisp hybrid system framework to a fuzzy hybrid system framework by using fuzzy set theory. The former contains the latter as a special case. Membership grades of fuzzy sets are utilized to represent vague system's states and variables. We have also developed a computational algorithm to calculate fuzzy states and state transitions.
模糊混合系统建模
混合系统是包含离散事件分量和连续变量分量的混合系统。现有的混合系统建模方法可以有效地处理清晰的案例,但难以表示许多现实应用中固有的确定性不确定性和主观性,特别是在生物医学领域。我们最近将离散事件系统的框架扩展到模糊离散系统的框架[1-2]。本文利用模糊集理论将清晰混合系统框架推广到模糊混合系统框架。前者包含后者作为特例。利用模糊集的隶属度来表示模糊系统的状态和变量。我们还开发了一种计算算法来计算模糊状态和状态转换。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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